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Finding the Fourth Proportional to 20,114.61, 27,758.16 and 11,162.18

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Solution

The fourth proportional to 20,114.61, 27,758.16 and 11,162.18 is: 15,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.61 : 27,758.16 = 11,162.18 : x
  2. Step 2: Convert to fraction form
    20,114.61/27,758.16 = 11,162.18/x
  3. Step 3: Cross multiply
    20,114.61x = 27,758.16 × 11,162.18
  4. Step 4: Simplify right side
    20,114.61x = 309,841,439.60
  5. Step 5: Solve for x
    x = 309,841,439.60/20,114.61
  6. Step 6: Final answer
    x = 15,403.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.